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Finding the Fourth Proportional to 22,968.62, 34,452.86 and 8,178.12

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Solution

The fourth proportional to 22,968.62, 34,452.86 and 8,178.12 is: 12,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.62 : 34,452.86 = 8,178.12 : x
  2. Step 2: Convert to fraction form
    22,968.62/34,452.86 = 8,178.12/x
  3. Step 3: Cross multiply
    22,968.62x = 34,452.86 × 8,178.12
  4. Step 4: Simplify right side
    22,968.62x = 281,759,623.42
  5. Step 5: Solve for x
    x = 281,759,623.42/22,968.62
  6. Step 6: Final answer
    x = 12,267.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.